Invariance for quasi-dissipative systems in Banach spaces.
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| Title: | Invariance for quasi-dissipative systems in Banach spaces. |
|---|---|
| Authors: | Cannarsa, P.1 cannarsa@mat.uniroma2.it, Da Prato, G.2 daprato@sns.it, Frankowska, H.3 helene.frankowska@imj-prg.fr |
| Source: | Journal of Mathematical Analysis & Applications. Jan2018, Vol. 457 Issue 2, p1173-1187. 15p. |
| Subjects: | Energy dissipation, Mathematical symmetry, Banach spaces, Numerical solutions to evolution equations, Maximal functions, Continuous functions |
| Abstract: | In a separable Banach space E , we study the invariance of a closed set K under the action of the evolution equation associated with a maximal dissipative linear operator A perturbed by a quasi-dissipative continuous term B . Using the distance to the closed set, we give a general necessary and sufficient condition for the invariance of K . Then, we apply our result to several examples of partial differential equations in Banach and Hilbert spaces. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 126165975 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Invariance for quasi-dissipative systems in Banach spaces. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Cannarsa%2C+P%2E%22">Cannarsa, P.</searchLink><relatesTo>1</relatesTo><i> cannarsa@mat.uniroma2.it</i><br /><searchLink fieldCode="AR" term="%22Da+Prato%2C+G%2E%22">Da Prato, G.</searchLink><relatesTo>2</relatesTo><i> daprato@sns.it</i><br /><searchLink fieldCode="AR" term="%22Frankowska%2C+H%2E%22">Frankowska, H.</searchLink><relatesTo>3</relatesTo><i> helene.frankowska@imj-prg.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Mathematical+Analysis+%26+Applications%22">Journal of Mathematical Analysis & Applications</searchLink>. Jan2018, Vol. 457 Issue 2, p1173-1187. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Energy+dissipation%22">Energy dissipation</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+symmetry%22">Mathematical symmetry</searchLink><br /><searchLink fieldCode="DE" term="%22Banach+spaces%22">Banach spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+solutions+to+evolution+equations%22">Numerical solutions to evolution equations</searchLink><br /><searchLink fieldCode="DE" term="%22Maximal+functions%22">Maximal functions</searchLink><br /><searchLink fieldCode="DE" term="%22Continuous+functions%22">Continuous functions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In a separable Banach space E , we study the invariance of a closed set K under the action of the evolution equation associated with a maximal dissipative linear operator A perturbed by a quasi-dissipative continuous term B . Using the distance to the closed set, we give a general necessary and sufficient condition for the invariance of K . Then, we apply our result to several examples of partial differential equations in Banach and Hilbert spaces. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jmaa.2016.11.087 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 1173 Subjects: – SubjectFull: Energy dissipation Type: general – SubjectFull: Mathematical symmetry Type: general – SubjectFull: Banach spaces Type: general – SubjectFull: Numerical solutions to evolution equations Type: general – SubjectFull: Maximal functions Type: general – SubjectFull: Continuous functions Type: general Titles: – TitleFull: Invariance for quasi-dissipative systems in Banach spaces. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Cannarsa, P. – PersonEntity: Name: NameFull: Da Prato, G. – PersonEntity: Name: NameFull: Frankowska, H. IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 01 Text: Jan2018 Type: published Y: 2018 Identifiers: – Type: issn-print Value: 0022247X Numbering: – Type: volume Value: 457 – Type: issue Value: 2 Titles: – TitleFull: Journal of Mathematical Analysis & Applications Type: main |
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